Question

Fie Expresia E(x) = $\frac{ x^{2} - 2x - 3}{ x^{2} -6x + 9}$. Dupa simplificare se obtine

Answer 1

x² - 2x - 3 = x² - 3x + x - 3 = x(x-3) + 1(x-3) = (x-3)(x+1)
x² - 6x + 9 = x² - 3x - 3x + 9 = x(x-3) - 3(x-3) = (x-3)(x-3)

$\frac{(x-3)(x+1)}{(x-3)(x-3)} = \frac{x+1}{x-3}$

Sper ca te-am ajutat.